Titlebook: Algebraic Graph Theory; Chris Godsil,Gordon Royle Textbook 2001 Springer-Verlag New York, Inc. 2001 algebra.Eigenvalue.graph.graph theory.

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Kneser Graphs,mous result from extremal set theory. In the remainder of the chapter, we determine the chromatic number of the Kneser graphs, which surprisingly uses a nontrivial result from topology, and study homomorphisms between Kneser graphs.

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Decolonizing Social Justice Education,There are various matrices that are naturally associated with a graph, such as the adjacency matrix, the incidence matrix, and the Laplacian. One of the main problems of algebraic graph theory is to determine precisely how, or whether, properties of graphs are reflected in the algebraic properties of such matrices.

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Decolonizing Social Justice Education,If . is a real symmetric . × . matrix, let ..(. ≥ ..(.) ≥ ... ≥ ..(.) eigenvalues in nonincreasing order. Suppose . is a real symmetric . × . matrix and . is a real symmetric . × . matrix, where . ≤ .. We say that the eigenvalues of . the eigenvalues of . if for . = 1,..., .,

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Interlacing,If . is a real symmetric . × . matrix, let ..(. ≥ ..(.) ≥ ... ≥ ..(.) eigenvalues in nonincreasing order. Suppose . is a real symmetric . × . matrix and . is a real symmetric . × . matrix, where . ≤ .. We say that the eigenvalues of . the eigenvalues of . if for . = 1,..., .,

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